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goldenfox [79]
3 years ago
10

If A : B = 4 : 5 and B : C = 3 : 2, find A : B : C.

Mathematics
1 answer:
Sindrei [870]3 years ago
6 0

Answer:

12 : 15 : 10

Step-by-step explanation:

Let A = 4x, the B = 5x

Let B = 3y, then C = 2y

B = 5x = 3y, so y = (5/3)x

Let x = 3t, so y = 5t

Then A = 4x = 4(3t) = 12t

B = 5x = 5(3t) = 15t

C = 2y = 2(5t) = 10t

so A : B : C = 12t : 15t : 10t = 12 : 15 : 10

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Answer:

The perimeter of rectangle is 18\ cm

Step-by-step explanation:

Let

x-----> the length of the rectangle

y----> the width of the rectangle

we know that

x=y+5 ----> equation A

120=xy+2x^{2}+2y^{2} ---> equation B (area of the constructed figure)

substitute the equation A in equation B

120=(y+5)y+2(y+5)^{2}+2y^{2}

120=y^{2}+5y+2(y^{2}+10y+25)+2y^{2}\\ 120=y^{2}+5y+2y^{2}+20y+50+2y^{2}\\120=5y^{2}+25y+50\\5y^{2}+25y-70=0

using a graphing tool -----> solve the quadratic equation

see the attached figure

The solution is

y=2\ cm

Find the value of x

x=y+5 ----> x=2+5=7\ cm

Find the perimeter of rectangle

P=2(x+y)=2(7+2)=18\ cm

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3 years ago
Factorise completely<br> 12y² + 4y
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Step-by-step explanation:

12y^{2}  + 4y \\4y( \frac{12y^{2} }{4y}  +  \frac{4y}{4y} ) \\ 4y(3y + 1)

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I’m pretty sure the answer is d or c
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3 years ago
An open box is to be constructed from a square piece of sheet metal by removing a square of side 6 feet from each corner and tur
den301095 [7]

Answer:

24 feet

Step-by-step explanation:

We are given that an open box is to be constructed from a square piece of sheet metal by removing a square side 6 feet from each corner and turning up the edges.

We have to find the dimensions of the sheet metal

Let x feet be the side of square  metal sheet

Length of box=x-12 feet (because 6 feet removed from each corner)

Width of box=x-12 feet

Height of box=6 feet

Volume of box=864 cubic feet

We know that volume of cuboid=l\times b\times h

Box is in cuboid shaped

Therefore, volume of box=6(x-12)(x-12)

6(x^2-24x+144)=864

x^2-24x+144=\frac{864}{6}

x^2-24x+144=144

x^2-24x+144-144=0

x(x-24)=0

Then ,x=0 , x-24=0

x=24

x=0 is not possible because side of square  metal sheet can not be zero

Therefore, x=24

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4 years ago
Solve the inequality <br><br><br> what is the solution?
bija089 [108]

Answer:

The solution to the inequality is:

2\ge \frac{g}{-4}\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:g\ge \:-8\:\\ \:\mathrm{Interval\:Notation:}&\:[-8,\:\infty \:)\end{bmatrix}

Please also check the graph of the solution to the inequality.

Step-by-step explanation:

Given the inequality

2\ge \frac{g}{-4}

switch sides

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Simplify

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Multiply both sides by 4

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Simplify

g\ge \:-8

Therefore, the solution to the inequality is:

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Please also check the graph of the solution to the inequality.

3 0
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